A trigonometric function's amplitude is equal to half the distance between the curve's highest and lowest points:(Maximum) − (Minimum) 2 = (Amplitude).
The amplitude can be found where in a commodity derivatives?A distance between the function's center line and its top or bottom is known as its amplitude, and the distance between its two peaks, or the time it takes for the graph to repeat itself, is known as its period.
What in mathematics is the amplitude?The distance that a function's graph moves between and above its midline is referred to as its amplitude.When graphing a formula given, the amplitude's value corresponds to the sine function's coefficient.
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A high school physics student with a mass of 75 kg is sitting in a seat reading this question. The magnitude of the force with which the seat is pushing up on the student is:.
Answer:
736 N
Explanation:
F = 75 kg * 9.81 m/s^2 = 736 Newtons
What measuring instrument should be used to determine if there was presence of electricity running in her extension cord?
Electrical voltage can be found in cable, cables, circuit breakers, light fixtures, outlets, and switches using voltage testers and receptacle analyzers.
How do you determine whether there is electricity present?
Simply place one tester probe against a hot wire, screw terminal, or outlet slot to utilise a neon voltage tester. Connect the second probe to a ground or neutral contact. If there is current, the small neon bulb at the tool's tip will light up.
Which test is performed to detect whether a piece of equipment contains electricity?
test bulbA piece of electrical test equipment called a test light, test lamp, voltage tester, or mains tester is used to determine whether electricity is present in a piece of equipment that is being tested
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If you were to get up out of your seat and walk to the office, then return and sit in your seat again what is your displacement?
Answer:
0
Explanation:
Displacement is the distance between the start and end point of your travel. If you start in your seat, and end up in your seat, your displacement is 0.
A 175 g glider on a horizontal, frictionless air track is attached to a fixed ideal spring with force constant 155 n/m. At the instant you make measurements on the glider, it is moving at 0. 815 m/s and is 3. 00 cm from its equilibrium point. Use energy conservation to find (a) the amplitude of the motion and (b) the maximum speed of the glider. (c) what is the angular frequency of the oscillations?.
The maximum speed of the glider v = 4.75 m/s. the amplitude of the motion 2.12 cm. the angular frequency of the oscillations is approximately 2.86 rad/s.
To find the amplitude of the motion, we can use the equation for the potential energy of a spring:
Potential Energy = (1/2) * k * x^2
where k is the force constant of the spring, x is the displacement of the glider from its equilibrium point, and Potential Energy is the potential energy of the spring.
In this case, the force constant of the spring is 155 n/m, the displacement of the glider from its equilibrium point is 3.00 cm, and the potential energy of the spring is unknown. Plugging these values into the equation above, we get:
Potential Energy = (1/2) * 155 n/m * (3.00 cm)^2
This simplifies to:
Potential Energy = (1/2) * 155 n/m * 9.00 cm^2
This further simplifies to:
Potential Energy = 693.5 n cm
The potential energy of the spring is equal to the kinetic energy of the glider, so we can use the equation for kinetic energy to solve for the maximum speed of the glider:
Kinetic Energy = (1/2) * m * v^2
where m is the mass of the glider and v is its speed.
In this case, the mass of the glider is 175 g, and its speed is unknown. Plugging these values into the equation above, we get:
(1/2) * 175 g * v^2 = 693.5 n cm
This simplifies to:
v^2 = 693.5 n cm / (1/2) * 175 g
This further simplifies to:
v^2 = 3960.7 g cm / 175 g
This simplifies to:
v^2 = 22.60 g cm
To find the maximum speed of the glider, we can take the square root of both sides of the equation:
v = √(22.60 g cm)
This simplifies to:
v = 4.75 m/s
To find the angular frequency of the oscillations, we can use the equation:
ω = √(k/m)
where ω is the angular frequency, k is the force constant of the spring, and m is the mass of the glider.
In this case, the force constant of the spring is 155 n/m, and the mass of the glider is 175 g. Plugging these values into the equation above, we get:
ω = √(155 n/m / 175 g)
This simplifies to:
ω = 2.86 rad/s
we can use the equation for kinetic energy to find the amplitude of the motion:
Kinetic Energy = (1/2) * m * v^2
where m is the mass of the glider and v is its maximum speed.
In this case, the mass of the glider is 175 g, and its maximum speed is 4.75 m/s. Plugging these values into the equation above, we get:
(1/2) * 175 g * (4.75 m/s)^2 = 693.5 n cm
This simplifies to:
(1/2) * 175 g * 22.60 g cm = 693.5 n cm
To find the amplitude of the motion, we can solve for x:
x^2 = 693.5 n cm / (1/2) * 155 n/m
This simplifies to:
x^2 = 4.5 cm^2
To find the amplitude of the motion, we can take the square root of both sides of the equation:
x = √(4.5 cm^2)
This simplifies to:
x = 2.12 cm
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the mass of a golf ball is 45.9 g . if it leaves the tee with a speed of 69.0 m/s , what is its corresponding wavelength?
The golf ball has a wavelength of 2.3281034m. The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal carried in space or along a wire is defined as the wavelength.
This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).
A matter wave is connected with all moving particles with mass. These matter waves are referred to as deBroglie waves.
A particle's deBroglie wavelengths is given by, where h is the Planck's constant, m is the mass of the ball, and v is its velocity.
Calculate the deBroglie wavelength of a moving golf ball by substituting 6.6261034J s for h, 45.9103kg for m, and 62.0 m/s for v.
The golf ball has a wavelength of 2.3281034m.
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which is the correct answer
it stop flies from sitting on the food
Track Block A student must determine the inertial mass of a block attained to a horizontal track. The block is free to move horizontally along the track, as shown above, Frictional forces are considered to be negligible. The student may only choose two measuring tools to determine the inertial mass of the block. What tools should the student choose? Select two answers.
a. Stopwatch
b. Accelerometer
с. Force sensor
d. Meterstick
The student should choose accelerometer and force sensor for the determination of the inertial mass of the block.
Inertia can be define as the tendency of an object to resist acceleration or we can say tendency of an object to change its state of motion. Inertial Mass is therefore a measure of an object's inertia.
We can also say that inertial mass measures the tendency to resist change in state of motion. The more mass of an object means, the more it resists acceleration. So, it has more inertia.
An accelerometer is an electronic sensor to measure the acceleration forces on an object. It is used to determine the object’s position in space and also to monitor the object’s movement.
A Force Sensor is a transducer to convert an input mechanical load, weight, tension, compression or pressure into an electrical output signal.
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76.9kg male and 44.4kg female pair figure skating team gliding across the ice at 7.26 m/s preparing for a throw jump maneuver. The male skater tosses the female skater forward with a speed 8.83 m/s . Determine the speed of male skater after the throw .
The speed of male skater after the throw will be 6.35 m/s.
What is momentum?The relationship between a particle's mass and velocity is called momentum. Being a vector quantity, momentum possesses both magnitude and direction.
Given that 76.9kg male and 44.4kg female pair figure skating team gliding across the ice at 7.26 m/s.
the female skater is tossed forward with a speed 8.83 m/s .
Let the speed of male skater after the throw = v m/s.
From principle of conservation of momentum,
Total initial momentum = total final momentum
⇒ (76.9 + 44.4) × 7.26 = 76.9×v + 44.4×8.83
⇒ 76.9×v = (76.9 + 44.4) × 7.26 - 44.4×8.83
⇒ v = 6.35 m/s.
Hence, the speed of male skater will be 6.35 m/s.
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3. gravity can best be described as: a. the tendency of masses to move towards each other b. the energy possessed by its body by virtue of its motion c. the tendency of any state of affairs to persist in the absence of external influences d. the effect of transfer of energy from one object striking another resulting in a near-instant change of relative velocity
Gravity can best be described as A: "the tendency of masses to move towards each other".
Gravity is the force through which a planet or any other body draws objects toward its center. Gravity keeps all planets in an orbit around the sun. It means that gravity is a force of attraction between objects or bodies that occurs because of their mass. Gravity becomes stronger as mass is increased, and it becomes weaker as the distance between the objects is increased.
Thus, gravity is best defined as the tendency of masses of objects that keeps them moving toward each other.
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Which of the following can result in deviations from Beer's law when the path length is constant? Explain your answer.
1. All radiation not absorbed by the sample is transmitted to the detector.
2. Stray light reaching the detecter.
3. Solute conc. exceeding 0.01 M.
4. The use of polychromatic radiation.
5. The sample is heterogenous Just need the ones that are correct.
There are several conditions that can result in deviations from Beer's Law when the pathlength is constant. This can cause the Beer's Law plot to become non-linear.
When the solute concentrations exceed 0.01 m. This can cause the Beer's Law plot to become flat or even inverted. The use of polychromatic radiation can also cause deviations from Beer's Law. This is because different wavelengths of light will be absorbed to different degrees by the sample.
When the pathlength is constant, the conditions that can result in deviations from Beer's law are:
1) All radiation not absorbed by the sample is transmitted to the detector.
2) The absorbing species undergoes dissociation or association.
3) The sample is homogeneous.
4) Solute concentrations exceeding 0.01 M.
5) The use of polychromatic radiation.
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an automobile horn emits a sound frequency of 800 hzas measured by a stationary observer. what frequency would be measured by an observer moving toward the source at 35:0 m
Answer:
The source emits sound at 800 / sec - f = 800 / s
The auto moves at 35 / 800 sec (the apparent wavelength is shortened)
f' = f + f vo / v where vo is the speed of the observer
f' = f (v + vo) / v rewriting the above equation
f' = 800 / sec (331 + 35) / 331 using 331 m/s as the speed of sound
f' = 885 / sec sound heard
a body is thrown up from a wall of height 2.2m with a speed of 10ms^-1 the distance travelled in the last second of its motion
Answer:
To solve this problem, we need to use the equations of motion for an object undergoing uniformly accelerated motion. Specifically, we can use the equation for the displacement of an object in the vertical direction:
y = y0 + v0t + 1/2at^2
where y is the displacement of the object, y0 is the initial displacement (in this case, the height of the wall), v0 is the initial velocity (in this case, 10 m/s), t is the time elapsed, and a is the acceleration (in this case, the acceleration due to gravity, which is approximately 9.81 m/s^2).
To find the distance travelled in the last second of motion, we need to find the displacement of the object at t = 1 s, and subtract the displacement at t = 0 s (which is the initial displacement). Substituting these values into the equation above and solving, we get:
y1 = 2.2m + 10m/s * 1s + 1/2 * 9.81m/s^2 * 1s^2 = 12.61 m
y0 = 2.2m
The distance travelled in the last second of motion is therefore y1 - y0 = 12.61 m - 2.2 m = 10.41 m.
Explanation:
What is the relation between the wavelength λ and the frequency f of a signal?
The frequency and wavelength are indirectly proportional to each other. More is the wavelength, lesser is the frequency and vice-versa.
What is a wavelength?
Wavelength is the distance between identical points( conterminous peaks) in conterminous cycles of a waveform signal propagated in space or along a line. In wireless systems, this length is generally given in measures( m), centimeters( cm), or millimeters( mm). In the case of infrared( IR), visible light, ultraviolet( UV), and gamma shafts( γ)The wavelength is more frequently given in nanometers( nm), which are units of 10- 9 m, or angstroms( Å)., which are units of 10- 10m. Wavelength is equally commensurable with frequency, which refers to the number of surge cycles per second. The advanced is the frequence of the signal, the shorter the wavelength.To know more about Wavelength, click the link given below:
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Why is CO2 considered a major factor in climate change?
Carbon dioxide is the planet's most important greenhouse gas because it both absorbs and radiates heat.
Is CO2 the primary factor causing climate change?The main cause of global warming is CO2, which is created by human activity.Its atmospheric concentration increased by 48% by 2020 compared to pre-industrial levels (before 1750).Human activities can produce smaller amounts of other greenhouse gases.
What really is CO2 and why does it relate to global warming?A greenhouse gas is carbon dioxide (CO2).As a result, the interior becomes warmer and the effect is similar to that of a greenhouse's glass.This impact is crucial since without the Carbon dioxide that really is present in the atmosphere naturally, Earth may be too chilly for life to exist on it.
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the amount of internal energy needed to raise the tempreture of .25kg of water by 0.2C is 209.3 J. how fast must a 0.25 kg baseball travel in order for its kinetic energy to equal this internal energy?
help me!
Answer:
Explanation:
To find the speed at which a 0.25 kg baseball must travel in order to have kinetic energy equal to 209.3 J, you will need to use the formula for kinetic energy, which is:
KE = 1/2 * m * v^2
Where KE is the kinetic energy, m is the mass of the object, and v is the speed of the object.
To solve for v, you will need to rearrange the equation to solve for v:
v = sqrt(2 * KE / m)
Plugging in the values given in the problem, we get:
v = sqrt(2 * 209.3 J / 0.25 kg)
Solving this equation gives us a speed of approximately 29.3 meters per second. This is the speed at which the 0.25 kg baseball must travel in order to have kinetic energy equal to 209.3 J.
I hope this helps!
Kumar rides his bicycle such that the back wheel rotates 10 times in 5 s. Determine the angular velocity of the wheel in a) degrees per second b) radians per second.
(a) Angular velocity in Degrees per second = [tex]720^0[/tex] per second
(b) Angular velocity in radians per second = 4[tex]\Pi[/tex] radians per second.
Number of rotations = 10
Total time = 5
So, the value of frequency will be =(Number of rotations)/Total time
That will be = (10/5) = 2
Angular velocity is defined as the speed at which an item rotates or revolves around an axis.
The Greek letter omega (occasionally ω, sometimes Ω) stands for angular velocity.
The SI unit for angular velocity is radians per second because it is expressed as an angle per unit of time.
(a) Angular velocity in Degrees per second
[tex]$=360^{\circ} \mathrm{f}=720^{\circ}$[/tex] degree per second.
(b) Angular velocity in radians per second
[tex]$\omega =2 \pi f=2 \pi(2)=4 \pi$[/tex] radians per second.
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What does FG gm1m2 r2 mean?
The expression for gravitational force was represented by the equation F, G, m1, m2, and r2.
The product of such gravitational constant as well as the masses of something like the two objects, multiplied with the square root of their distance, would be the expression for the gravitational force separating two objects.
The formula is given as:
force = (product of g, m (mass) ) / square of the d between both the objects.(r)
F = (G(gravitational force) × M × m) / r²
where,
Force = F
Gravitational Constant = G
Mass of one object = M
Mass of another object = m
Distance = r
Gravitational force seems to be the force used by the planet to pull an item toward it. Issacs Newton made the discovery after seeing an apple drop from of a tree.
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what is the answer of this question
Answer:
Option C as it stops flies from sitting on the food
A student swings ball of mass M on the end of a string in vertical circle of radius R,as shown in the figure below. Also shown is diagram representing all the forces exerted on the ball at the bottom of the circle where its speed is What is the magnitude of the acceleration of the ball at the bottom of the circle? FTension FGravity
A)Fi /M
B)Fc /M
C)Fr+Fg/M
D) Ft- Fg/M
The magnitude of the acceleration of the ball applied at the bottom of the circle is expressed as FTension-FGravity/M.
When making a vertical circle with a ball on a string?The string's tension varies along its vertical as well as circular course. The ball's speed varies as long as the total amount of kinetic and potential energy is constant through out. Centripetal force fluctuates when speed changes accordingly.How can I determine the tension of a string moving in a vertical circle?You can write it down as FC = mv2 /r.
The centripetal force in a moving object attached to a string is equal to the product of the object's mass (mg) and the string tension (T).
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What acceleration does a net force of 32 N impart to a mass of; *
30 kg
45 kg
14 kg
32 kg
3 kg
0.094 m/s^2 0.94 m/s^2
O
O
O
O
1.00 m/s^2 0.44 m/s^2
O
O
O
O
O
O
O
10 points
1.41 m/s^2
O
O
This query calls for the use of Newton's second law of motion. Mass is equal to the product of acceleration and net force. Mass = 32 N / 4 m/s2 = 8 kg when the values are entered into the formula.
If an object has a mass of 10 kg and a force of 30n, what is its acceleration?We can obtain a=F/m by adopting the formula F=m*a and rearranging the subject. Then, using the provided numbers as substitutes, we can determine that a=30/10=3. The item will accelerate at 3ms-2 because acceleration is measured in ms-2.
How is force calculated?Newton's second law of motion provides the definition of the force formula: An object's force is equal to its mass times its acceleration. F = m ⨉ a. To apply this formula, you must use SI units for force (newtons), mass (kilograms), and acceleration (meters per second squared).
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A 200 ω resistor, a 0.850 h inductor, and a 5.75 μf capacitor are connected in series across a voltage source that has voltage amplitude 29.0 v and an angular frequency of 260 rad/s.
a. What is v at t= 22.0 ms ?
b. What is vR at t= 22.0 ms ?
c. What is vL at t= 22.0 ms ?
d. What is vC at t= 22.0 ms ?
The root mean square voltage Vrms of the circuit is 15.49 V.
The voltage of the resistor vR is 10.4 V.
The voltage of the inductor vL is 11.49 V.
The voltage of the capacitor vC is 0.035 V.
RMS voltage of the circuit is calculated as follows:
Vrms = -V₀ sin ωt = -29 * sin (260* 22* 10⁻³) = 29 * 0.534 = 15.49 V
XI = ωL = 260* 0.85 = 221 ohms
Xc = 1/ωc = 1/(260 * 5.75* 10⁻³) = 10³/1495 = 0.67 ohm
Z = √[R² +(XI - Xc)²] = √[200² + (221 - 0.67)²] = √[200² + 220.33²]
= √[ 40000 + 48545.30] = 297.56 ohm
Current flowing in the circuit is
Irms = Vrms/Z = 15.49 / 297.56 = 0.052 A
vR = Irms * R = 0.052 * 200 = 10.4 V
vL = Irms * L = 0.052 * 221 = 11.49 V
vC = Irms * C = 0.052 * 0.67 = 0.035 V
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On the screenshot linked below, the answer to part one is .237141. How would I solve part two?
(a) The fraction of neutron's kinetic energy transferred to the atomic nucleus is 0.068.
(b) The final kinetic energy of the neutron is 2.48 x 10⁻¹³ J.
What is the final velocity of the atom?The final velocity of the atom is calculated by applying the principle of conservation of linear momentum as follows;
initial momentum of the neutron = final momentum of the atom
m₁u₁ = m₂u₂
where;
m₁ is the mass of the neutronu₁ is the initial velocity of the neutronm₂ is the mass of the atomic nucleusu₂ is the final velocity of the atomic nucleusThe mass of the atom = 14.8m₁
u₂ = m₁u₁ / m₂
u₂ = m₁u₁ / (14.8m₁)
u₂ = 0.0676u₁
The initial kinetic energy of the neutron is calculated as;
K.Ei = ¹/₂m₁u₁²
The final kinetic energy of the atom is calculated as;
K.Ef = ¹/₂m₂u₂²
K.Ef = ¹/₂(14.8m₁)(0.0676u₁)²
K.Ef = 0.068 (¹/₂m₁u₁²)
K.Ef = 0.068 (K.Ei)
The fraction of neutron's kinetic energy transferred to the atomic nucleus is calculated as;
= 0.068 (K.Ei) / K.Ei
= 0.068
= 6.8 %
The final kinetic energy of the neutron is calculated as follows;
K.E.f (neutron) = (1 - 0.068) x (2.66 x 10⁻¹³ J)
K.E.f (neutron) = 2.48 x 10⁻¹³ J
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9. An astronaut weighs 500 Newtons on Earth and 25
newtons on asteroid X. The acceleration due to
gravity on asteroid X is approximately
A) 1 m/s²
C) 0.2 m/s²
B) 2 m/s²
D) 0.5 m/s²
The acceleration due to gravity on asteroid X is approximately 0.5 meter/secon^2. Hence, option (D) is correct.
What is acceleration due to gravity?The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s^2 is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a quantity. The letter g stands for gravitational acceleration.
Given that: An astronaut weighs 500 Newtons on Earth and 25 newtons on asteroid X.
Hence, The acceleration due to gravity on asteroid X is :
= acceleration due to gravity on Earth × (25 N/500N)
= 10 meter/secon^2 × (1/20)
= 0.5 meter/secon^2 ( approx.)
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2 points
A rocket accelerates from 50 m/s to 250 m/s in 10 seconds. What is the acceleration of the rocket?
0.04 m/s²
25 m/s²
2500 m/s²
O 20 m/s²
Answer:
The acceleration of the rocket is 20 m/s².
Explanation:
This can be calculated by dividing the change in velocity by the time it took to achieve that change in velocity. In this case, the change in velocity is 250 m/s - 50 m/s = 200 m/s, and it took 10 seconds, so the acceleration is 200 m/s / 10 s = 20 m/s².
a small 1.4 n stone slides down a frictionless bowl, starting from rest at the rim. how hard is the bowl pushing on it
The force that the bowl is exerting on a small 1.4 n stone as it slides down is 13.72 n.
To determine the force that the bowl is exerting on the stone as it slides down, you will need to consider the stone's mass, the acceleration of the stone, and Newton's second law of motion.
Newton's second law of motion states that the force acting on an object is equal to the mass of the object times its acceleration. This can be written as:
F = m * a
where F is the force acting on the object, m is the mass of the object, and a is the acceleration of the object.
In this case, the mass of the stone is given as 1.4 n, and the acceleration of the stone is the acceleration due to gravity, which is 9.8 m/s^2.
Plugging in the values, you get:
F = 1.4 n * 9.8 m/s^2
F = 13.72 n
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What is the force of friction on a sliding object?
Sliding friction is the resistance that any two items produce as they slide against one another. Kinetic friction is another name for this friction.
What forces are at work on the moving object?The external force is the frictional motion. When the external factor is larger than the pressure of kinetic friction, acceleration happens. When the amount of kinetic friction exceeds the force of the external force, slowing (or stopping) takes place.
What kind of sliding friction is that?When an object slides across a surface, sliding friction is regarded as a resistance to that object's motion. Think of a box that is on the ground. This surface is in close proximity to the floor's surface.
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a cylinder with cross-section area a floats with its long axis vertical in a liquid of density rho.
a) The expression for force needed to push the cylinder distance deeper into the liquid by a distance x is F = ρ × A × x.
b) The work done to push the cylinder 10 cm deeper into the water is 12.315 N-m.
The force required to push the cylinder by a certain distance is nothing but the weight of the liquid displaced by the same distance.
So, F = ρ × A × x
where, p is density
x is distance
A is area
We know the expression for work as, W = F × z
where, z is the work required to move through distance z
From a) we can write F = A × z² × ρ
Given that, d = 4 cm
So, r = 2 cm = 0.2 m
z = 10 cm = 0.10 m
ρ = 1000 kg/m³ = 9800 N/m³
Substituting the values in the above equation, we have,
W = π × 0.2² × 0.1² × 9800 = 12.315 N-m
The question is incomplete. The complete question is 'a.) Pressing down on the cylinder pushes it deeper into the liquid. Find an expression for the force needed to push the cylinder distance deeper into the liquid and hold it there.
'b.) A 4.0 cm diameter cylinder floats in water. How much work must be done to push the cylinder 10 cm deeper into the water?'
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Three different forces are pulling on a heavy trapdoor (Figure 4.6). Which
force will have the biggest turning effect? Explain your answer.
Which of the following definitions best describes the concept of work?(a) the flow of energy from one object or substance to another due to a difference in temperature.(b) the flow of energy from one body to another through uniform molecular motion.(c) the force associated with molecular motion.(d) the random motion of molecules in a gas at low pressure.
Answer:
Your answer is (c) the force associated with molecular motion
Explanation:
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Wy is it necessary to reduce the voltage to a motor when the frequency is reduced?
To reduce magnetic flux density, it is necessary to reduce the voltage to a motor when the frequency is reduced. This will resist lowering of inductive reactance and increase of rotor current
When we decrease voltage applied to the motor. The current in stator is winding as well as the magnetic flux density will decrease along with decrease in induced voltage.
The voltage induced over rotor's conductor is defined here
,[tex]V_{R[/tex] = B.l.u
We can see things in other way also. Changing frequency has effect on both the motor speed and the strength of the magnetic field. With the lowering of frequency motor speed becomes slow.
With reduction in voltage, magnetic field decreases and magnetic flux becomes constant. This keeps torque production stable, regardless of frequency.
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